xref: /third_party/python/Lib/test/decimaltestdata/ddReduce.decTest

------------------------------------------------------------------------
-- ddReduce.decTest -- remove trailing zeros from a decDouble         --
-- Copyright (c) IBM Corporation, 2003, 2008.  All rights reserved.   --
------------------------------------------------------------------------
-- Please see the document "General Decimal Arithmetic Testcases"     --
-- at http://www2.hursley.ibm.com/decimal for the description of      --
-- these testcases.                                                   --
--                                                                    --
-- These testcases are experimental ('beta' versions), and they       --
-- may contain errors.  They are offered on an as-is basis.  In       --
-- particular, achieving the same results as the tests here is not    --
-- a guarantee that an implementation complies with any Standard      --
-- or specification.  The tests are not exhaustive.                   --
--                                                                    --
-- Please send comments, suggestions, and corrections to the author:  --
--   Mike Cowlishaw, IBM Fellow                                       --
--   IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK         --
--   mfc@uk.ibm.com                                                   --
------------------------------------------------------------------------
version: 2.59

precision:   16
maxExponent: 384
minExponent: -383
extended:    1
clamp:       1
rounding:    half_even

ddred001 reduce '1'      -> '1'
ddred002 reduce '-1'     -> '-1'
ddred003 reduce '1.00'   -> '1'
ddred004 reduce '-1.00'  -> '-1'
ddred005 reduce '0'      -> '0'
ddred006 reduce '0.00'   -> '0'
ddred007 reduce '00.0'   -> '0'
ddred008 reduce '00.00'  -> '0'
ddred009 reduce '00'     -> '0'
ddred010 reduce '0E+1'   -> '0'
ddred011 reduce '0E+5'   -> '0'

ddred012 reduce '-2'     -> '-2'
ddred013 reduce '2'      -> '2'
ddred014 reduce '-2.00'  -> '-2'
ddred015 reduce '2.00'   -> '2'
ddred016 reduce '-0'     -> '-0'
ddred017 reduce '-0.00'  -> '-0'
ddred018 reduce '-00.0'  -> '-0'
ddred019 reduce '-00.00' -> '-0'
ddred020 reduce '-00'    -> '-0'
ddred021 reduce '-0E+5'   -> '-0'
ddred022 reduce '-0E+1'  -> '-0'

ddred030 reduce '+0.1'            -> '0.1'
ddred031 reduce '-0.1'            -> '-0.1'
ddred032 reduce '+0.01'           -> '0.01'
ddred033 reduce '-0.01'           -> '-0.01'
ddred034 reduce '+0.001'          -> '0.001'
ddred035 reduce '-0.001'          -> '-0.001'
ddred036 reduce '+0.000001'       -> '0.000001'
ddred037 reduce '-0.000001'       -> '-0.000001'
ddred038 reduce '+0.000000000001' -> '1E-12'
ddred039 reduce '-0.000000000001' -> '-1E-12'

ddred041 reduce 1.1        -> 1.1
ddred042 reduce 1.10       -> 1.1
ddred043 reduce 1.100      -> 1.1
ddred044 reduce 1.110      -> 1.11
ddred045 reduce -1.1       -> -1.1
ddred046 reduce -1.10      -> -1.1
ddred047 reduce -1.100     -> -1.1
ddred048 reduce -1.110     -> -1.11
ddred049 reduce 9.9        -> 9.9
ddred050 reduce 9.90       -> 9.9
ddred051 reduce 9.900      -> 9.9
ddred052 reduce 9.990      -> 9.99
ddred053 reduce -9.9       -> -9.9
ddred054 reduce -9.90      -> -9.9
ddred055 reduce -9.900     -> -9.9
ddred056 reduce -9.990     -> -9.99

-- some trailing fractional zeros with zeros in units
ddred060 reduce  10.0        -> 1E+1
ddred061 reduce  10.00       -> 1E+1
ddred062 reduce  100.0       -> 1E+2
ddred063 reduce  100.00      -> 1E+2
ddred064 reduce  1.1000E+3   -> 1.1E+3
ddred065 reduce  1.10000E+3  -> 1.1E+3
ddred066 reduce -10.0        -> -1E+1
ddred067 reduce -10.00       -> -1E+1
ddred068 reduce -100.0       -> -1E+2
ddred069 reduce -100.00      -> -1E+2
ddred070 reduce -1.1000E+3   -> -1.1E+3
ddred071 reduce -1.10000E+3  -> -1.1E+3

-- some insignificant trailing zeros with positive exponent
ddred080 reduce  10E+1       -> 1E+2
ddred081 reduce  100E+1      -> 1E+3
ddred082 reduce  1.0E+2      -> 1E+2
ddred083 reduce  1.0E+3      -> 1E+3
ddred084 reduce  1.1E+3      -> 1.1E+3
ddred085 reduce  1.00E+3     -> 1E+3
ddred086 reduce  1.10E+3     -> 1.1E+3
ddred087 reduce -10E+1       -> -1E+2
ddred088 reduce -100E+1      -> -1E+3
ddred089 reduce -1.0E+2      -> -1E+2
ddred090 reduce -1.0E+3      -> -1E+3
ddred091 reduce -1.1E+3      -> -1.1E+3
ddred092 reduce -1.00E+3     -> -1E+3
ddred093 reduce -1.10E+3     -> -1.1E+3

-- some significant trailing zeros, were we to be trimming
ddred100 reduce  11          -> 11
ddred101 reduce  10          -> 1E+1
ddred102 reduce  10.         -> 1E+1
ddred103 reduce  1.1E+1      -> 11
ddred104 reduce  1.0E+1      -> 1E+1
ddred105 reduce  1.10E+2     -> 1.1E+2
ddred106 reduce  1.00E+2     -> 1E+2
ddred107 reduce  1.100E+3    -> 1.1E+3
ddred108 reduce  1.000E+3    -> 1E+3
ddred109 reduce  1.000000E+6 -> 1E+6
ddred110 reduce -11          -> -11
ddred111 reduce -10          -> -1E+1
ddred112 reduce -10.         -> -1E+1
ddred113 reduce -1.1E+1      -> -11
ddred114 reduce -1.0E+1      -> -1E+1
ddred115 reduce -1.10E+2     -> -1.1E+2
ddred116 reduce -1.00E+2     -> -1E+2
ddred117 reduce -1.100E+3    -> -1.1E+3
ddred118 reduce -1.000E+3    -> -1E+3
ddred119 reduce -1.00000E+5  -> -1E+5
ddred120 reduce -1.000000E+6 -> -1E+6
ddred121 reduce -10.00000E+6 -> -1E+7
ddred122 reduce -100.0000E+6 -> -1E+8
ddred123 reduce -1000.000E+6 -> -1E+9
ddred124 reduce -10000.00E+6 -> -1E+10
ddred125 reduce -100000.0E+6 -> -1E+11
ddred126 reduce -1000000.E+6 -> -1E+12

-- examples from decArith
ddred140 reduce '2.1'     ->  '2.1'
ddred141 reduce '-2.0'    ->  '-2'
ddred142 reduce '1.200'   ->  '1.2'
ddred143 reduce '-120'    ->  '-1.2E+2'
ddred144 reduce '120.00'  ->  '1.2E+2'
ddred145 reduce '0.00'    ->  '0'

-- Nmax, Nmin, Ntiny
-- note origami effect on some of these
ddred151 reduce  9.999999999999999E+384   -> 9.999999999999999E+384
ddred152 reduce  9.999999000000000E+380   -> 9.99999900000E+380
ddred153 reduce  9.999999999990000E+384   -> 9.999999999990000E+384
ddred154 reduce  1E-383                   -> 1E-383
ddred155 reduce  1.000000000000000E-383   -> 1E-383
ddred156 reduce  2.000E-395               -> 2E-395   Subnormal
ddred157 reduce  1E-398                   -> 1E-398   Subnormal

ddred161 reduce  -1E-398                  -> -1E-398  Subnormal
ddred162 reduce  -2.000E-395              -> -2E-395  Subnormal
ddred163 reduce  -1.000000000000000E-383  -> -1E-383
ddred164 reduce  -1E-383                  -> -1E-383
ddred165 reduce  -9.999999000000000E+380  -> -9.99999900000E+380
ddred166 reduce  -9.999999999990000E+384  -> -9.999999999990000E+384
ddred167 reduce  -9.999999999999990E+384  -> -9.999999999999990E+384
ddred168 reduce  -9.999999999999999E+384  -> -9.999999999999999E+384
ddred169 reduce  -9.999999999999990E+384  -> -9.999999999999990E+384


-- specials (reduce does not affect payload)
ddred820 reduce 'Inf'    -> 'Infinity'
ddred821 reduce '-Inf'   -> '-Infinity'
ddred822 reduce   NaN    ->  NaN
ddred823 reduce  sNaN    ->  NaN    Invalid_operation
ddred824 reduce   NaN101 ->  NaN101
ddred825 reduce  sNaN010 ->  NaN10  Invalid_operation
ddred827 reduce  -NaN    -> -NaN
ddred828 reduce -sNaN    -> -NaN    Invalid_operation
ddred829 reduce  -NaN101 -> -NaN101
ddred830 reduce -sNaN010 -> -NaN10  Invalid_operation

-- Null test
ddred900 reduce  # -> NaN Invalid_operation